Sommer, Liesel ; Schumacher, Liesel: An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures. 2019
Inhalt
- Introduction
- Preliminaries
- Basic notation
- Pressurized fractures
- Gamma-convergence
- Functions of bounded variation and bounded deformation
- Discretization methods
- Gamma-convergence of the energy functional
- Numerical methods
- Discretization
- DG discretization of the displacement equation
- TNNMG discretization of the phase-field equation
- Adjustments for UDG
- Reconstruction of the crack
- Implementation
- Distributed and Unified Numerics Environment (DUNE)
- Construction of the skeleton
- Creation of sub-domains
- Numerical experiments
- Summary and outlook
- Bibliography